Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
227_231_CC_A_AMC3_BT_662329.indd Page 227 23/09/11 5:20 AM u-s010 /Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY... NAME _____________________________________________ DATE __________________ PERIOD _________ Course 3 Benchmark Test – Third Quarter 1. SHORT ANSWER Alfonso leans a 20-foot long ladder against a wall with the base of the ladder 6 feet from the wall. How far up the wall does the ladder reach? Round to the nearest tenth if necessary. 4. Which of the following figures show a 90° clockwise rotation of the figure shown below? about 19.1 ft A. 2. What is the sum of the measures of the interior angles of a pentagon? B. A. 900° B. 720° * C. 540° Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. D. 450° * C. 3. What is the distance between points A and B shown on the coordinate plane? y D. 4 B 2 -4 -2 O 2 4 x -2 A -4 F. 8 units * G. 10 units H. 12 units I. 14 units 227 Course 3 • Benchmark Test – Third Quarter P rinter P DF 227_231_CC_A_AMC3_BT_662329.indd Page 228 23/09/11 5:21 AM u-s010 /Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY... NAME _____________________________________________ DATE __________________ PERIOD _________ Course 3 Benchmark Test – Third Quarter 5. If point H(-6, 2) is translated 4 units up and 3 units right, what are the coordinates of the translated image? (continued) 8. What is the measure of angle 3? 3 F. H'(-2, 5) * G. H'(-3, 6) 2 1 4 H. H'(-9, -2) A. 45° I. H'(-9, 6) B. 90° −−− 6. The dilation of CD is shown below. What is the scale factor of the dilation? * C. 135° D. 225° y C 9. SHORT ANSWER Determine whether the following figure is a right triangle. Justify your answer. C D D x 1 A. − 12 mm 3 1 B. − 2 C. 2 37 mm 35 mm Yes, the figure is a right triangle because the sides satisfy the Pythagorean Theorem: 122 + 352 = 372. * D. 3 7. Which of the following terms describes two lines that intersect to form right angles? F. parallel * G. perpendicular H. skew I. straight 228 10. Point N(6, -5) is reflected across the x-axis. What are the coordinates of the image? F. N'(-6, -5) G. N'(-5, 6) H. N'(5, -6) * I. N'(6, 5) Course 3 • Benchmark Test – Third Quarter P rinter P DF Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. O 227_231_CC_A_AMC3_BT_662329.indd Page 229 23/09/11 5:21 AM u-s010 /Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY... NAME _____________________________________________ DATE __________________ PERIOD _________ Course 3 Benchmark Test – Third Quarter 11. Parallel lines l and m are intersected by transversal t as shown below. Which of the following angles are not congruent? 13. SHORT ANSWER Using the figure below, write a paragraph proof to show that m∠a = m∠b = 45°. t 1 a 2 4 3 (continued) b 5 7 6 m 8 * A. 1 and 2 B. 2 and 3 Sample answer: The triangle is isosceles, so m∠a = m∠b. The sum of the angles of a triangle is 180°. So, a + b + 90 = 180, or a + b = 90. Since a = b, a + a = 90, or a = 45. So, m∠a = m∠b = 45°. C. 3 and 6 14. What is the approximate distance between points W(-4, 1) and Z(3, 7)? Round to the nearest tenth. D. 4 and 8 Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. A. 10.8 units 12. Suppose triangle RST shown on the coordinate grid is reflected across the y-axis. Which ordered pair does not represent a vertex of the reflected triangle? * B. 9.2 units C. 8.3 units D. 6.1 units y 4 15. What is the value of n in the triangle below? 2 R -4 -2 O -2 S 2 x 4 n T -4 47° 72° F. (5, 1) F. 47° G. (-4, -2) G. 51° H. (2, -4) * H. 61° * I. (-2, 4) I. 72° 229 Course 3 • Benchmark Test – Third Quarter P rinter P DF 227_231_CC_A_AMC3_BT_662329.indd Page 230 23/09/11 5:21 AM u-s010 /Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY... NAME _____________________________________________ DATE __________________ PERIOD _________ Course 3 Benchmark Test – Third Quarter 16. What is the measure of an interior angle of a regular hexagon? (continued) −−− 19. What is the approximate length of NP with endpoints N(7, 3) and P(-6, -2)? Round to the nearest tenth. F. 5.7 units a G. 6.5 units * A. 120° H. 10.2 units B. 135° * I. 13.9 units C. 720° D. 810° 17. Which rotation best describes the transformation shown below? E y F E D 4 F 2 D -4 -2 O 2 4 20. SHORT ANSWER What is the length of the diagonal of a square with 8-foot sides? Round to the nearest tenth. x d -4 8 F. 90° counterclockwise rotation 11.3 ft G. 270° clockwise rotation H. 180° rotation * I. 90° clockwise rotation 18. Which set of numbers could be the sides of a right triangle? 21. Which transformation does not result in an image congruent to the original figure? A. translation A. 6, 8, 12 * B. 8, 15, 17 C. 4, 12, 16 D. 9, 11, 21 230 B. rotation C. reflection * D. dilation Course 3 • Benchmark Test – Third Quarter P rinter P DF Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. 8 -2 227_231_CC_A_AMC3_BT_662329.indd Page 231 23/09/11 5:21 AM u-s010 /Volumes/110/GO00864/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY... NAME _____________________________________________ DATE __________________ PERIOD _________ Course 3 Benchmark Test – Third Quarter 22. What is the value of x in the figure below? 105° x (continued) 24. The legs of a right triangle measure 7 units and 24 units. What is the measure of the hypotenuse? Round to the nearest tenth if necessary. F. 17 units G. 20.4 units F. 75° H. 23.0 units G. 85° * H. 105° I. 115° *I. 25 units 25. SHORT ANSWER Prove that triangle ABC is an isosceles triangle. 10 y A 8 23. Mary enlarged a 4- by 6-inch photo to a 10- by 15-inch photo. What is the scale factor of the dilation? 6 4 2 Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. A. 2 O * B. 2.5 C. 6 D. 9 C 2 4 B 6 8 10x Sample answer: Using the 58 and distance formula, AB = √ 58 . Since AB = AC, the AC = √ triangle is isosceles. 231 Course 3 • Benchmark Test – Third Quarter P rinter P DF